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Finding the Fourth Proportional to 1,150.34, 1,735.16 and 1,082.97

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Solution

The fourth proportional to 1,150.34, 1,735.16 and 1,082.97 is: 1,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.34 : 1,735.16 = 1,082.97 : x
  2. Step 2: Convert to fraction form
    1,150.34/1,735.16 = 1,082.97/x
  3. Step 3: Cross multiply
    1,150.34x = 1,735.16 × 1,082.97
  4. Step 4: Simplify right side
    1,150.34x = 1,879,120.81
  5. Step 5: Solve for x
    x = 1,879,120.81/1,150.34
  6. Step 6: Final answer
    x = 1,633.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.